The particle filter (PF) is a novel technique that has sufficiently good estimation results for the nonlinear/non-Gaussian systems. However, PF is inconsistent that caused mainly by loss of particle diversity in resampling step and unknown a priori knowledge of the noise statistics. This paper introduces a new modified particle filter called adaptive unscented particle filter (AUPF) to overcome th...

The accurate estimation of quantum observables is a critical task in science. With progress on the hardware, measuring system will become increasingly demanding, particularly for variational protocols that require extensive sampling. Here, we introduce measurement scheme adaptively modifies estimator based previously obtained data. Our algorithm, which call AEQuO, continuously monitors both est...